Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - 1.3 - Modeling with Linear Equations - 1.3 Exercises - Page 99: 57



Work Step by Step

Currently there are $2\cdot \frac{32}{33}=\frac{64}{33}$ gallons of gasoline and $2\cdot \frac{1}{33}=\frac{2}{33}$ gallons of oil. Thus if we want the oil to be $\frac{1}{50+1}$ of the whole mixture, then: $\dfrac{\frac{2}{33}}{\frac{2}{33}+\frac{64}{33}+x}=\frac{1}{51}\\\dfrac{\frac{2}{33}}{2+x}=\frac{1}{51}\\\frac{102}{33}=2+x\\x=\frac{36}{33}=\frac{12}{11}$
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